Title :
A necessary condition for Schur stability of 2D polynomials [digital filters]
Author :
Xiao, Yang ; Unbehauen, Rolf ; Du, Xiyu
Author_Institution :
Inst. of Inf. Sci., Northern Jiaotong Univ., Beijing, China
Abstract :
Based on the phase frequency property of 2D polynomials, a necessary condition for Schur stability of 2D polynomials has been obtained. We give a lower bound that the derivative of the phase frequency function of 2D Schur polynomials must satisfy. The result is extended to the classical 2D polynomials without zeros inside the unit bidisk. An illustrative example is given
Keywords :
circuit stability; poles and zeros; polynomials; two-dimensional digital filters; 2D polynomials; Schur stability; digital filters; phase frequency property; unit bidisk; zeros; Bismuth; Digital filters; Frequency domain analysis; Information science; Polynomials; Stability analysis; Sufficient conditions; Testing; Transfer functions;
Conference_Titel :
Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-5471-0
DOI :
10.1109/ISCAS.1999.778879
